Skip to Main content Skip to Navigation
Journal articles

Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering

Axel Modave 1, * Christophe Geuzaine 2 Xavier Antoine 3, 4
* Corresponding author
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : This paper deals with the design and validation of accurate local absorbing boundary conditions set on convex polygonal and polyhedral computational domains for the finite element solution of high-frequency acoustic scattering problems. While high-order absorbing boundary conditions (HABCs) are accurate for smooth fictitious boundaries, the precision of the solution drops in the presence of corners if no specific treatment is applied. We present and analyze two strategies to preserve the accuracy of Padé-type HABCs at corners: first by using compatibility relations (derived for right angle corners) and second by regularizing the boundary at the corner. Exhaustive numerical results for two- and three-dimensional problems are reported in the paper. They show that using the compatibility relations is optimal for domains with right angles. For the other cases, the error still remains acceptable, but depends on the choice of the corner treatment according to the angle.
Complete list of metadata

Cited literature [77 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01925160
Contributor : Axel Modave <>
Submitted on : Wednesday, October 23, 2019 - 8:05:59 PM
Last modification on : Tuesday, March 2, 2021 - 5:12:06 PM
Long-term archiving on: : Friday, January 24, 2020 - 8:52:45 PM

File

paperCornerHABC_Postprint.pdf
Files produced by the author(s)

Identifiers

Citation

Axel Modave, Christophe Geuzaine, Xavier Antoine. Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering. Journal of Computational Physics, Elsevier, 2020, 401, pp.109029. ⟨10.1016/j.jcp.2019.109029⟩. ⟨hal-01925160v2⟩

Share

Metrics

Record views

295

Files downloads

466